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Finding the Fourth Proportional to 43.02, 59.26 and 40.80

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Solution

The fourth proportional to 43.02, 59.26 and 40.80 is: 56.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.02 : 59.26 = 40.80 : x
  2. Step 2: Convert to fraction form
    43.02/59.26 = 40.80/x
  3. Step 3: Cross multiply
    43.02x = 59.26 × 40.80
  4. Step 4: Simplify right side
    43.02x = 2,417.81
  5. Step 5: Solve for x
    x = 2,417.81/43.02
  6. Step 6: Final answer
    x = 56.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.